Conkdors are bird enemies that make their first appearance in Super Mario 3D World. Their name is a portmanteau of "condor" and "conk", which refers generally to a hit on the head, which fits their method of attacking. They are blue and white birds with long necks, toucan-like beaks, a tuft of black hair and purple goggles. These glasses can be knocked off by tapping a Conkdor's head with the touch screen of the Wii U GamePad. They also have a purple spiked shell, protecting their backs from being stomped. Their appearances and attack pattern are based off of the myth that ostriches bury their heads in the sand when stressed. They appear in Conkdor Canyon, World 2's Mystery House, Sprawling Savanna Rabbit Run, The Bowser Express and Rolling Ride Run. Conkdors can walk only in Sprawling Savanna Rabbit Run.

Similarly to Thwomps, these enemies stand still on a certain spot, waiting for the player. Once one gets near it, it slams its beak on the ground, which can cause damage to the player. However, doing this leaves their neck and head exposed, and both can be jumped on to defeat the enemy. Conkdors can also rotate, following the player. Their beaks can be used to break stone blocks as well.